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Finding the Third Proportional to 1,654,468,288 and 3,584,662,512

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Solution

The third proportional to 1,654,468,288 and 3,584,662,512 is: 7,766,728,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,468,288 : 3,584,662,512 = 3,584,662,512 : x
  2. Step 2: Convert to fraction form
    1,654,468,288/3,584,662,512 = 3,584,662,512/x
  3. Step 3: Cross multiply
    1,654,468,288x = 3,584,662,512 × 3,584,662,512
  4. Step 4: Simplify right side
    1,654,468,288x = 12,849,805,324,938,149,888
  5. Step 5: Solve for x
    x = 12,849,805,324,938,149,888/1,654,468,288
  6. Step 6: Final answer
    x = 7,766,728,089.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.